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arXiv 2014-02-08 0 views

On Shimura subvarieties generated by families of abelian covers of P¹

Mohajer, Abolfazl · Zuo, Kang

Original · EN

We study the locus of abelian Galois covers of P¹ in Ag and the problem of occurrence of Shimura (special) subvarieties generated by these covers in the Torelli locus Tg inside Ag. We first investigate the existence of Shimura subvarieties in the mentioned locus by some computational methods based on Moonen-Oort works and then exclude many cases using both characteristic p methods and monodromy computations.

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